Most-and-least-mastered- Math 7.docx

Most and Least Mastered

GRADE 7 First Quarter MOST LEARNED 1. 2. 3. 4. 5.

describes well-defined sets, subsets, universal sets, and the null set and cardinality of sets. illustrates the union and intersection of sets and the difference of two sets. represents the absolute value of a number on a number line as the distance of a number from 0. arranges real numbers in increasing or decreasing order. writes numbers in scientific notation and vice versa.

LEAST LEARNED 1. 2. 3. 4. 5.

solves problems involving sets. performs operations on rational numbers estimates the square root of a whole number to the nearest hundredth. solves problems involving real numbers. uses Venn Diagrams to represent sets, subsets, and set operations.

Second Quarter MOST LEARNED 1. illustrates what it means to measure. 2. converts measurements from one unit to another in both Metric and English systems. 3. approximates the measures of quantities particularly length , weight/mass, volume, time, angle and temperature and rate. 4. differentiates between constants and variables in a given algebraic expression. 5. classifies algebraic expressions which are polynomials according to degree and number of terms. LEAST LEARNED 1. 2. 3. 4.

solves problems involving conversion of units of measurement. multiplies and divides polynomials. solves problems involving algebraic expressions. solves linear equation or inequality in one variable involving absolute value by: (a) graphing; and (b) algebraic methods. 5. solves problems involving equations and inequalities in one variable. Third Quarter MOST LEARNED

1. 2. 3. 4. 5.

represents point, line and plane using concrete and pictorial models. illustrates subsets of a line. classifies the different kinds of angles. illustrates polygons: (a) convexity;(b) angles; and (c) sides. derives inductively the relationship of exterior and interior angles of a convex polygon.

LEAST LEARNED 1. derives relationships of geometric figures using measurements and by inductive reasoning; supplementary 2. angles, complementary angles, congruent angles, vertical angles, adjacent angles, linear pairs, perpendicular lines, and parallel lines. 3. illustrates polygons: (a) convexity; (b) angles; and (c) sides. 4. derives inductively the relationship of exterior and interior angles of a convex polygon. 5. illustrates a circle and the terms related to it: radius, diameter chord, center, arc, chord, central angle, and inscribed angle. GRADE 8 First Quarter MOST LEARNED 1. illustrates rational algebraic expressions 2. illustrates the rectangular coordinate system and its uses 3. illustrates linear equations in two variables 4. finds the slope of a line given two points, equation, and graph 5. illustrates a system of linear equations in two variables LEAST LEARNED 1. solves problems involving factors of polynomials 2. solves problems involving rational algebraic expressions 3. finds the equation of a line given (a) two points; (b) the slope and a point; (c) the slope and its intercepts 4. solves a system of linear equations in two variables by (a) graphing; (b) substitution; (c) elimination 5. solves problems involving systems of linear equations in two variables

Second Quarter MOST LEARNED

1. illustrates linear inequalities in two variables 2. illustrates a linear function 3. verifies if a given relation is a function 4. determines the inverse, converse, and contra positive of an if-then statement 5. uses inductive or deductive reasoning in an argument LEAST LEARNED 1. solves a system of linear inequalities in two variables 2. solves problems involving systems of linear inequalities in two variables 3. graphs a linear function’s (a) domain; (b) range; (c) table of values; (d) intercepts; and (e) slope 4. transforms a statement into an equivalent if-then statement 5. writes a proof (both direct and indirect)

Third Quarter MOST LEARNED 1. illustrates triangle congruence 2. illustrates the SAS, ASA and SSS congruence postulates 3. illustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular: (a) defined terms; (b) undefined terms; (c) postulates; and (d) theorems LEAST LEARNED 1. solves corresponding parts of congruent triangles 2. proves statements on triangle congruence 3. proves two triangles are congruent

GRADE 9 First Quarter MOST LEARNED 1. 2. 3. 4. 5.

illustrates quadratic equations. characterizes the roots of a quadraticequation using the discriminant. describes the relationship between the coefficients and the roots of a quadratic equation. illustrates quadratic inequalities transforms the quadratic functiondefined by y = ax2 + bx + c into the formy = a(x – h)2 + k.

LEAST LEARNED 1. solves quadratic equations by: (a)extracting square roots; (b) factoring;(c) completing the square; and (d)using the quadratic formula.

2. 3. 4. 5.

solves equations transformable to quadratic equations (including rational algebraic equations). solves problems involving quadratic equations and rational algebraic equations. solves quadratic inequalities. solves problems involving quadratic inequalities.

Second Quarter MOST LEARNED 1. illustrates situations that involve the following variations: (a) direct; (b)inverse; (c) joint; (d) combined. 2. translates into variation statement a relationship between two quantities given by: (a) a table of values; (b) a mathematical equation; (c) a graph, and vice versa. 3. applies the laws involving positive integral exponents to zero and negative integral exponents. 4. illustrates expressions with rational exponents. 5. writes expressions with rational exponents as radicals and vice versa. LEAST LEARNED 1. 2. 3. 4. 5.

simplifies radical expressions using the laws of radicals. performs operations on radical expressions. solves equations involving radical expressions. solves problems involving radicals. derives the laws of radicals.

Third Quarter MOST LEARNED 1. 2. 3. 4. 5.

identifies quadrilaterals that are parallelograms. determines the conditions that make a quadrilateral a parallelogram. describes a proportion. illustrates similarity of figures. proves theorems on trapezoids and kites.

LEAST LEARNED 1. 2. 3. 4.

uses properties to find measures of angles, sides and other quantities proves theorems on the different kinds of parallelogram (rectangle, rhombus, square). solves problems involving parallelograms, trapezoids and kites. proves the conditions for similarity of triangles. SAS similarity theorem SSS similarity theorem AA similarity theorem right triangle similarity theorem special right triangle theorems 5. solves problems that involve triangle similarity and right triangles.

GRADE 10

First Quarter LEAST LEARNED 1. 2. 3. 4. 5.

Solve word problems involving sequence Perform division of polynomials using the long method Factor polynomial Solve polynomial equations Solve word problems involving polynomial equations

MOST LEARNED 1. 2. 3. 4. 5.

Generate patterns Illustrate arithmetic sequence and geometric sequence Determine arithmetic means and geometric means Determine the nth term of arithmetic and geometric sequence Perform division of polynomials using synthetic division

Second Quarter LEAST LEARNED 1. 2. 3. 4. 5.

Solve problems involving polynomial function Prove theorems on secants, tangents, segments and sectors of a circle Solve problems on circles Apply the distance formula to prove some geometric properties Solve problems involving geometric figures on the coordinate plane

MOST LEARNED 1. 2. 3. 4. 5.

Prove theorems related to chords, arcs, central angles, and inscribed angles Derive the distance formula Illustrate the center-radius form of the equation of the circle Determine the center and radius of a circle given its equation and vice versa Graph a circle and other geometric figures on the coordinate plane

Third Quarter LEAST LEARNED

1. 2. 3. 4. 5.

Solve problems involving permutation Solve problems involving combination Differentiate permutation from combination Illustrate mutually exclusive events Solve problems involving probability

MOST LEARNED 1. 2. 3. 4. 5.

Illustrate permutation and combination Derive the formula for finding the number permutation of the n of objects taken r at a time Derive the formula for finding the number combination of the n of objects taken r at a time Illustrate the probability a union of two events Find the probability of (A U B)

Prepared:

DONNA MAY B. PROVINDIDO Testing Coordinator/ T-II

Department of Education Region III Schools Division Office of Olongapo City District I-C OLD CABALAN INTEGRATED SCHOOL High School Department

SY 2018 – 2019